what is this as a fraction

Answer:

og

Step-by-step explanation:

no

Answer:

D

Step-by-step explanation:

4/4=1 5/5=1

Answer:

Its D

Step-by-step explanation:

Just took the test and got a 96%

Answer:

d

Step-by-step explanation:

fart

The linear function is 2/3 x=y-1. Therefore, option D is the correct answer.

A linear function is a function that represents a straight line on the coordinate plane. The standard form of a linear function is y = mx + b.

Here, 'm' is the slope of the line, 'b' is the y-intercept of the line, 'x' is the independent variable and 'y' (or f(x)) is the dependent variable.

Option A:

In the function y=3x², the highest degree is 2, so it is quadratic function.

Option B:

The function y=1/3x is not a linear function.

Option C:

In the function y=x³+5, the highest degree is 3, so it is cubic function.

Option D:

In the function 2/3 x=y-1, the highest degree is 1, so it is linear function.

The linear function is 2/3 x=y-1. Therefore, option D is the correct answer.

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Answer:

$34.00

Step-by-step explanation:

Add 9 to 25 to find your answer

Answer:

-1

Step-by-step explanation:

\(\boxed{\begin{minipage}{4.4cm}\underline{Slope Formula}\\\\Slope $(m)=\dfrac{y_2-y_1}{x_2-x_1}$\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ \\are two points on the line.\\\end{minipage}}\)

Define two points on the line:

Substitute the defined points into the slope formula:

\(\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-2-0}{0-(-2)}=\dfrac{-2}{2}=-1\)

Therefore, the slope of the line is -1.

Answer:

a) The point (4, 122) represents that the cost of 4 tickets is $122

b) The unit rate is 30.5 dollars per ticket

c) The cost of buying 10 tickets is $305

Step-by-step explanation:

Let us solve the question

From the given graph

∵ The x-axis represents the number of tickets

∵ The y-axis represents the cost of tickets in dollars

∴ The line represents the relationship between the number of tickets

   and their cost

a)

∵ The point (4, 122) lies on the line

∴ x = the number of tickets

∴ y = their cost

∵ x = 4 and y = 122

∴ The cost of the 4 tickets is 122 dollars

∴ The point (4, 122) represents that the cost of 4 tickets is $122

b)

∵ The unit rate is the slope of the line

∵ The slope of the line = Δy/Δx, where

∵ The line passes through points (0, 0) and (2, 61)

∴ x1 = 0 and x2 = 2

∴ y1 = 0 and y2 = 61

→ Substitute them in the rule of the slope above

∴ The slope of the line = \(\frac{61-0}{2-0}\) = \(\frac{61}{2}\) = 30.5

∴ The unit rate is 30.5 dollars per ticket

c)

∵ The linear equation is y = m x + b, where

∵ m = 30.5 ⇒ the slope of the lone

∵ b = 0 ⇒ The line passes through the origin point (0, 0)

∴ The equation of the line is y = 30.5x

∵ x = 10 ⇒ number of tickets

→ Substitute x by 10 in the equation to find the cost of 10 tickets

∴ y = 30.5(10)

∴ y = 305

∴ The cost of buying 10 tickets is $305

Answer:x=7/5 or 1 2/5

Step-by-step explanation:

x + 3/5=2

Step 1: Subtract 3/5 from both sides.

X+3/5-3/5=2-3/5

X=7/5

Answer:

7/5 or 1 2/5

Step-by-step explanation:

\(x+\dfrac{3}{5}=2 \\\\\\x=2-\dfrac{3}{5} \\\\\\x=\dfrac{10}{5}-\dfrac{3}{5} \\\\\\x=\dfrac{7}{5}= 1\dfrac{2}{5}\)

Hope this helps!

Answer:

216.

Step-by-step explanation:

Answer:

216 Bottles

Step-by-step explanation:

Step-by-step explanation:

”. What this means is that there is less than a 5% probability that the results happened just by random chance, and therefore a 95% probability that a results reflects a meaningful pattern in human psychology. We call this statistical significance, and, statistically speaking, this is a pretty high standard

If this means that there is still a 5% chance those results are due to chance. This, combined with publication bias , are two main contributing factors to the reproducibility crisis.

When the results of research investigations affect whether or not they are published, it is known as publication bias.

It alludes to the propensity of academics, journals and other interested parties to publish studies with statistically significant or favourable outcomes while omitting or underreporting those with non-significant or unfavourable outcomes.distorted and incomplete.

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As we know that perimeter of a shape is the sum of all it's boundaries. Also , let assume that the missing side be y . So ,here ;

\({:\implies \quad \sf (4x-4)+(3x+1)+y=13x-8}\)

\({:\implies \quad \sf 4x-4+3x+1+y=13x-8}\)

\({:\implies \quad \sf y+7x-3=13x-8}\)

\({:\implies \quad \sf y=13x-8-7x+3}\)

Collecting like terms :

\({:\implies \quad \sf y=(13x-7x)+(-8+3)}\)

\({:\implies \quad \bf \therefore \quad \underline{\underline{y=6x-5}}}\)

Hence , the length of Missing side is 6x-5

Answer:

u=-2

Step-by-step explanation:

Let's solve your equation step-by-step.

11u=−22

Step 1: Divide both sides by 11.

11u

11

=

−22

11

u=−2

Answer:

u=−2

Answer:

x = 150

Step-by-step explanation:

The regular poligon shown in the image has 12 angles so it's a dodecagon

A dodecagon's interior angles is calculated with the following formula:

(n-2)180 (n is the count of angles)

10*180 = 1800 now this is the sum of all 12 angles' measure to find the value of x we divide this sum by 12

1800/12 = 150 this is the value of x

Answer:

a) 40.

Step-by-step explanation:

a triangle is 180 total

The 90% confidence interval for the difference in the population means is -2.51 to 0.31

From the question, we have the following parameters that can be used in our computation:

xˉ₁ = −17.1

s₁² = 8.4

n₁ = 22

​xˉ₂ = −16.0

s₂² = 8.7

n₂ = 24

Calculate the pooled variance using

P = (df₁ * s₁² + df₂ * s₂²)/df

Where

df₁ = 22 - 1 = 21

df₂ = 24 - 1 = 23

df = 22 + 24 - 2 = 44

So, we have

P = (21 * 8.4 + 23 * 8.7)/44

P = 8.56

Also, we have the standard error to be

SE = √(P/n₁ + P/n₂)

So, we have

SE = √(8.56/22 + 8.56/24)

SE = 0.86

The z score at 90% CI is 1.645, and the CI is calculated as

CI =  (x₁ - x₂) ± z * SE

So, we have

CI = (-17.1 + 16.0) ± 1.645 * 0.86

This gives

CI = -1.1 ± 1.41

Expand and evaluate

CI = (-2.51, 0.31)

Hence, the confidence interval is -2.51 to 0.31

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Therefore, the next number in the sequence is 43.

To find the next number in the sequence, let's examine the differences between consecutive numbers:

16 - 9 = 7

24 - 16 = 8

33 - 24 = 9

We can observe that the differences between consecutive numbers are increasing by 1 each time. Therefore, it suggests that the pattern in the sequence is adding consecutive integers to the previous number.

To continue the sequence, we add 10 to the last number in the sequence:

33 + 10 = 43

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The length JL in the similar triangle is 17.5 units.

Similar triangles are the triangles that have corresponding sides in proportion to each other and corresponding angles equal to each other.

Therefore, let's use the proportional relationships to find the length JL of the triangle as follows:

Hence, using the proportion,

GH / KJ = GI / JL

Therefore,

12 / 30 = 7 / JL

cross multiply

12 JL =  210

divide both sides by 12

JL = 210 / 12

JL = 17.5 units

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Answer:

\(5\)

Step-by-step explanation:

Substitute the value of the variable into the equation and simplify.

5 (3z-3) = 30

15 z - 15 = 30

15 z = 30+ 15

15z = 45

z= 45/ 15

z= 3

Answer:

To find the unit rate, we must find how many cranes Tammy made in one day.

12 (cranes)       4 cranes

_________ = ________, he makes 4 cranes per day.

   3 days             1 day

Tape diagram provided;

The Solution.

The total number of people surveyed = 750.

The number of age group 41 - 50 that favored the Do-It-Yourself books = 69

The percentage of the people in age group 41 - 50, and favored the Do-It-Yourself books is calculated as below:

Hence, the correct answer is 9 percent.

Potentially hazardous cold food that requires time and temperature control for safety (TCS food) should not be kept at a temperature above 41°F (5°C) for more than 6 hours total time, according to the FDA Food Code.

According to the U.S. Food and Drug Administration (FDA) Food Code, potentially hazardous cold food that requires time and temperature control for safety (TCS food) should not be kept at a temperature above 41°F (5°C) for more than 6 hours total time.

After that, the food must be thrown out to prevent the growth of harmful bacteria. These food are harmful to the health of consumer.

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A symbol that creates a true sentence for x = 6 is '>' i.e.,

12 ÷ x + 2x > 1 2 ÷ (x + 2x)

In this question, we have been given a statement 12 ÷ x + 2x ____ 12 ÷ (x + 2x)

We need to select a correct symbol that would create a true sentence when x = 6.

Consider an expression 12 ÷ x + 2x for x = 6.

= 12 ÷ 6 + 2(6)

= 2 + 12

= 14                              ...................(1)

Consider an expression 12 ÷ (x + 2x) for x = 6

= 12 ÷ (6 + 2(6))

= 12 ÷ (6 + 12)

= 12 ÷ 18

= 0.67                               ...................(2)

From (1) and (2),

14 > 0.67

Therefore, a symbol that creates a true sentence for x = 6 is '>'

i.e., 12 ÷ x + 2x > 1 2 ÷ (x + 2x)

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The range for the mean height at 99% confidence is 65.00 2.576 (2.74 / 4) inches. This calculation results in an interval that is roughly 65.00 ±3.09 inches, which is option c.

You should use a simple random sample of size 50 (option c) in order to acquire a margin of error of 1 inch. We must make some calculations based on the provided data to compute the confidence interval and establish the necessary sample size.

How to determine the sample mean:

By adding up all the heights and dividing by the sample size, the mean of the sample is determined:

65 inches equals (63 + 69 + 62 + 66) / 4 = 260 / 4.

Making a sample standard deviation calculation:

We must first determine the variance in order to determine the sample's standard deviation.

The average of the squared deviations from the mean is the variance. Let's figure it out:

[(63 - 65)² + (69 - 65)² + (62 - 65)² + (66 - 65)²] / 4

= [(-2)² + (4)² + (-3)² + (1)²] / 4

= [4 + 16 + 9 + 1] / 4

= 30 / 4

= 7.5.

The standard deviation is the square root of the variance:

√(7.5) ≈ 2.74 inches.

Calculating the margin of error:

The margin of error is a critical component of the confidence interval. In this case, you want the margin of error to be 1 inch.

To calculate the margin of error, we use the formula:

Margin of Error = Z ×(Standard Deviation / √(Sample Size)).

For a 99% confidence level, the critical Z-value is approximately 2.576 (obtained from a standard normal distribution table).

Since the margin of error is given as 1 inch, we can rearrange the formula to solve for the sample size:

Sample Size = (Z² × (Standard Deviation)²) / (Margin of Error)².

Plugging in the values:

Sample Size = (2.576² ×(2.74)²) / (1²)

= (6.641376 × 7.5076) / 1

= 49.754935776.

The sample size should be rounded up to the nearest whole number, so we need to select a sample of at least 50 individuals (39 is not sufficient).

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The height of the cone needs to be approximately 4.5 inches to have the same volume as the cup, which has a width of 3 inches and a height of 2 inches.

To determine the required height of the cone, we can use the formula for the volume of a cone, which is \(\frac 13 * \pi * r^2 * h\), where r is the radius and h is the height of the cone.

Given that the cup has a width of 3 inches, we can calculate the radius of the cup by dividing the width by 2, which gives us 1.5 inches. Therefore, the radius of the cup is 1.5 inches.

Since we want the cone to have the same width as the cup, the radius of the cone should also be 1.5 inches.

Now, let's substitute the values into the volume formula for the cup: \(\frac 13 * \pi * (1.5)^2 * 2\). The volume of the cup is approximately 7.07 cubic inches.

To find the required height of the cone, we can rearrange the volume formula and solve for h:

\(h = \frac {3 * volume} {\pi * r^2}\).

Plugging in the values, we get \(h = \frac {3 * 7.07}{\pi * (1.5)^2}\), which simplifies to h = 4.5 inches.

Therefore, the height of the cone needs to be approximately 4.5 inches to hold the same amount of ice cream as the cup with a width of 3 inches and a height of 2 inches.

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volume= 16/3, A coordinate plane is a graphing and description system for points and lines. A vertical (y) axis and a horizontal (x) axis make up the coordinate plane. There are four quadrants in the coordinate plane. The point where these lines connect is called the origin (0, 0).

limits

z= 0 to z = 4-y-2x

y= 0 to y = 4- 2x

x= 0 to x= 2

volume

v= \(\int\limits^2_0 \int\limits^4_0 \int\limits^4_0 dzdydx\)

v= \(\int\limits^2_0 \int\limits^4_0 (4-y-2x) dydx\)

v= \(\int\limits^2_0 ( 4y- y^{2} / 2 - 2xy) ^4^-^2^x _0\)

dx= \(\int\limits^2_0 [ 16-8x - 16+ 4x^2 - 16x / 2 - 8x+ 4x^2 ] dx\)

v= \(\int\limits^2_0 [ 8+ 2x^2- 8x] dx\\\)

= [ 8x + 2x^3 / 3 - 8x^2 / 2 ] ^2_0

= [16+ 16/3- 16]

v= 16/3

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Complete Question

Question: Sketch The Tetrahedron Enclosed By The Coordinate Planes And The Plane 2x+Y+Z=4. Use A Triple Integral To Find The Volume Of The tetrahedron

Answer:

f(-4)=85

Step-by-step explanation:

Given function

f(x)= 2x^2-10x+13

Now put x= -4, We get

f(-4)=2(-4)^2-10(-4)+13

f(-4)=2(16)+40+13

f(-4)=32+53

f(-4)=85

Using implicit differentiation for x^2 + 3y^2 = 3 simplifying wherever possible, y″ = (-6y^2 - 2x^2) / (3y^3)

To find y″ by implicit differentiation, we will first take the derivative of both sides of the equation x^2 + 3y^2 = 3 with respect to x, using the chain rule for the term involving y:

2x + 6y y′ = 0

Next, we will take the derivative of this equation with respect to x, again using the chain rule for the term involving y:

2 + 6y y″ + 6y′^2 = 0

We can simplify this equation by solving for y″:

y″ = (-2 - 6y′^2) / (6y)

Now we need to substitute the expression for y′ in terms of x and y:

y′ = (-x) / (3y)

Therefore, we have:

y″ = (-2 - 6((-x) / (3y))^2) / (6y)

Simplifying the expression inside the parentheses:

((-x) / (3y))^2 = x^2 / (9y^2)

Multiplying by 6 and factoring out the common term of x^2:

y″ = (-2 - 2x^2 / 3y^2) / y

Simplifying further by multiplying both the numerator and the denominator by 3y^2:

y″ = (-6y^2 - 2x^2) / (3y^3)

Thus, we have obtained the expression for y″ in terms of x and y.

In summary, to find y″ by implicit differentiation, we first take the derivative of the given equation with respect to x, then take the derivative of the resulting equation with respect to x again, and solve for y″.

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If λ is an eigenvalue of matrix A with associated eigenvector v, then for any positive integer n, the value λ^n is an eigenvalue of A^n with the same associated eigenvector v.

Let λ be an eigenvalue of matrix A with associated eigenvector v. By definition, we have A v =\(λ\) v. We want to show that the value\(λ^n\) is an eigenvalue of \(A^n\) with the same eigenvector v.

To prove this, we consider the matrix \(A^n\). By the definition of matrix exponentiation, \(A^n\)can be obtained by multiplying matrix A by itself n times. Therefore, we have \(A^n\) = A * A * ... * A (n times).

Now, let's consider the action of \(A^n\) on the eigenvector v. We have \(A^n\)v = (A * A * ... * A) v. Since matrix multiplication is associative, we can rearrange the order of multiplication without changing the result. Hence, \(A^n\) v = A * (A * ... * (A * (A * v))...).

Since A v = λ v, we can substitute λ v for A v in the above expression repeatedly, n times. This gives us \(A^n\) v =\(λ^n\) v. Therefore,\(λ^n\) is indeed an eigenvalue of\(A^n\) with the same associated eigenvector v.

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